Researcher Directory | Aichi University of Education.


Uemura Hideaki

  • Faculty:Department of Mathematics EducationPosition:Professor
  • Address:1 Hirosawa,Igaya-cho,Kariya-shi,Aichi
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  • E-mail address:
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Assigned Class

  • Natural Sciences

Research Field

  • Basic analysis
  • Keywords:Stochastic analysis , Malliavin calculus

Current Subject

  • Studies on generalized Wiener functionals
    Keywords:Brownian motion , Wiener chaos , local time
  • Studies on stochastic Fourier coefficients
    Keywords:stochastic Fourier coefficients , Skorokhod integral , Ogawa integral

Academic Background

  • D. Sc.

Research Career

Research Career
  • 2006 - , Aichi University of Education, Professor
  • 1992 - 2006 , Aichi University of Education, Associate Professor
  • 1990 - 1992 , Tokyo Institute of Technology, Assistant
  • 1988 - 1990 , Kochi University, Assistant


Books, Articles, etc.

  • Shigeyoshi Ogawa, Hideaki Uemura
    Some aspects of strong inversion formulas of an SFT
    Japan Journal of Industrial and Applied Mathematics, Springer, 35(1):373--390, 2018
  • S. Ogawa, H. Uemura
    On the identification of noncausal functions from the SFCs
    RIMS Kokyuroku, RIMS, 1952:128--134, 2015
  • (with S.Ogawa)
    On a Stochastic Fourier Coefficient: Case of Noncausal Functions
    Journal of Theoretical Probability, 27(2):370-382, 2014
  • (with S.Ogawa)
    Identification of a noncausal Ito process from the stochastic Fourier coefficients
    Bulletin des Sciences Mathematiques, 138(1):147-163, 2014
  • On the weighted local time and the Tanaka formula for the multidimensional fractional Brownian motion
    Stoch. Anal. Appl., 26(1):136-168, 2008
  • Generalized positive continuous additive functionals of multidimensional Brownian motion and their associated Revuz measures
    Stochastic Process. Appl., 118:1870-1891, 2008
  • Positive continuous additive functionals of multidimensional Brownian motion and the Brownian local time
    J. Math. Kyoto Univ., 47(2):371-390, 2007
  • 太田 忠之;宮嵜 考司;荒川 昇;植村 英明;森 徹匡
    愛知教育大学研究報告. 自然科学, 愛知教育大学, 55:33-38, 2006-03-01
  • Tanaka formula for multidimensional Brownian motions
    J. Theoret. Probab., 17(2):347-366, 2004
  • Unrenormalized intersection local time of Brownian motion and its local time representation
    J. Math. Kyoto Univ., 43(4):671-687, 2003
  • Substitution to parametrized generalized Wiener functionals and pinned Brownian local times
    Bull. Sci. math., 125(6-7):457-479, 2001
  • Plane wave decomposition of even-dimensional Brownian local times
    J. Funct. Anal., 173(2):481-496., 2000
  • Plane wave decomposition of odd-dimensional Brownian local times
    J. Math. Kyoto Univ., 39(2):365-375, 1999
  • Construction of the solution of 1-dimensional heat equation with white noise potential and its asymptotic behaviour
    Stoch. Anal. Appl., 14(4):487-506, 1996
  • Off-diagonal short time expansion of the heat kernel on a certain nilpotent Lie group
    J. Math. Kyoto Univ., 30(3):403-450., 1990
  • (with S. Watanabe)
    Diffusion processes and heat kernels on certain nilpotent groups
    Lect. Notes in Math., 1322:173-197, 1988
  • On a short time expansion of the fundamental solution of heat equations by the method of Wiener functionals
    J. Math. Kyoto Univ., 27(3):417-432, 1987

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